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133204101221412 = 2232131983917854849
BaseRepresentation
bin11110010010010111111111…
…001000101100110000100100
3122110122012001211201212211200
4132102113333020230300210
5114424403444403041122
61151145041435002500
740025451542546364
oct3622277710546044
9573565054655750
10133204101221412
11394965a6574491
1212b33a1bb99430
135943128ca6390
1424c7181b189a4
15105ee2732d5ac
hex7925ff22cc24

133204101221412 has 144 divisors (see below), whose sum is σ = 382150925520000. Its totient is φ = 38782443921408.

The previous prime is 133204101221407. The next prime is 133204101221467. The reversal of 133204101221412 is 214122101402331.

133204101221412 is a `hidden beast` number, since 1 + 3 + 3 + 20 + 4 + 1 + 0 + 1 + 221 + 412 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1467037 + ... + 16387812.

Almost surely, 2133204101221412 is an apocalyptic number.

133204101221412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133204101221412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191075462760000).

133204101221412 is an abundant number, since it is smaller than the sum of its proper divisors (248946824298588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133204101221412 is a wasteful number, since it uses less digits than its factorization.

133204101221412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17855730 (or 17855725 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 133204101221412 its reverse (214122101402331), we get a palindrome (347326202623743).

The spelling of 133204101221412 in words is "one hundred thirty-three trillion, two hundred four billion, one hundred one million, two hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 839 988 1482 1678 2223 2517 2964 3356 4446 5034 7551 8892 10068 10907 15102 15941 21814 30204 31882 32721 43628 47823 63764 65442 95646 98163 130884 143469 191292 196326 207233 286938 392652 414466 573876 621699 828932 1243398 1865097 2486796 3730194 7460388 17854849 35709698 53564547 71419396 107129094 160693641 214258188 232113037 321387282 339242131 464226074 642774564 678484262 696339111 928452148 1017726393 1356968524 1392678222 2035452786 2089017333 2785356444 3053179179 4070905572 4178034666 4410147703 6106358358 8356069332 8820295406 12212716716 13230443109 14980218311 17640590812 26460886218 29960436622 39691329327 44940654933 52921772436 59920873244 79382658654 89881309866 134821964799 158765317308 179762619732 194742838043 269643929598 284624147909 389485676086 539287859196 569248295818 584228514129 778971352172 853872443727 1138496591636 1168457028258 1707744887454 1752685542387 2336914056516 2561617331181 3415489774908 3505371084774 3700113922817 5123234662362 7010742169548 7400227845634 10246469324724 11100341768451 14800455691268 22200683536902 33301025305353 44401367073804 66602050610706 133204101221412